Slew rate can limit the response for large signals. But, for small signals it is the gain bandwidth which limits the response.

The key thing which is apparent here is that insufficient information has been given so far. We need to know more about the properties of the opamp and whether the analysis is for large signals or a small signal approximation.

I would guess that the problem has given a gain bandwidth, or an open loop gain with a pole location, and is asking about small signal gain.